Respuesta :

SmarticalParticals
Both 3 and x are common to all of the expressions so we can factor them out...

3x^3 - 3x^2 -18x
3x (x^2 -x -6)

Now factor inside the parentheses

3x(x - 3)(x + 2)

Done.  Answer C (or the 3rd one down)
boffeemadrid

Answer:

(C)[tex]3x(x-3)(x+2)[/tex]

Step-by-step explanation:

The given equation is:

[tex]3x^3-3x^2-18x[/tex]

Upon solving this equation, we get

Taking 3x common from all the terms of the above equation,

[tex]3x(x^2-x-6)[/tex]

Now, factorizing the above equation, we have

[tex]3x(x^2-3x+2x-6)[/tex]

[tex]3x(x(x-3)+2(x-3))[/tex]

[tex]3x(x-3)(x+2)[/tex]

which is the required factorized form of the above equation.

Hence, option C is correct.